This article describes a new approach to determining the optimal amount of state financial support provided to business entities. It is shown that there are three available methods to support economic agents. The most cost-effective option is subsidizing business entities to expand their current assets. It has been revealed that there are not just optimal amounts of government financial support but also optimal not-to-exceed amounts that make it possible to identify the boundaries of the so-called highly productive state of the economy. In this case, when the economy is highly productive, the prices of goods (services) fall, workers spend their savings, and the volume of production increases. This ultimately leads to an increase in the well-being of the population. The differential equations are the basis for the model, which is similar to the model of a simple two-sector single-product economy. The Monte Carlo method is used to determine the optimal not-to-exceed amount for government financial support. The identification of such intervals allows us to determine the amount of state financial support that will lead to a highly productive state and will not contribute to an unreasonable expansion of the budget expenditure. This study’s results can be utilized by government authorities for the development of a comprehensive system of state financial support for entrepreneurship. Business entities can use the results of this research concerning the calculation of the optimal not-to-exceed amount of financial support.

The aim of this study is to form a new concept of tax burden calculation—optimal tax trajectory, which meets the needs of economic entities in view of the optimisation of tax payments and state authorities in terms of budget replenishment and subsequent efficient spending of state resources. The presented concept is developed on the basis of mathematical modelling of related economic processes. The model is based on the differential equation. An attempt is made to analyse the impact of building an optimal tax trajectory on the efficiency of the organisation’s activity. It shows that it is possible to increase the tax burden on economic entities in order to replenish the revenue part of the budget, which does not affect their financial situation. The proposed approach expands the instrumental apparatus for calculating tax payments from the position of taxpayers and fiscal authorities. The construction of the optimal tax trajectory facilitates the adoption of point decisions concerning the increase or decrease of the tax burden of an economic entity in mutual account with the factors of the macroeconomic conjuncture. This approach allows for managing the revenue part of the budget and redistributing it later to solve social problems or overcome business downturns.

The simplified tax system is the most common special tax regime in the Russian Federation in terms of the number of taxpayers. Tax revenues from the simplified tax system account for 6% of the structure of tax revenues of the consolidated budgets of the constituent entities of the Russian Federation and more than 93% of the structure of tax revenues from special tax regimes. The purpose of this study is to identify and assess the factors influencing tax revenues from the tax levied in connection with applying the simplified system of taxation (taxable object—income reduced by the amount of expenses). The objective of this study is to determine a set of factors used by economists to model the level of tax revenues and to conduct a corresponding econometric analysis of the influence of the selected factors on the dependent variable to identify characteristics of the simplified taxation system functioning in the Russian Federation. The object of this study is the per capita tax revenue from the tax levied in connection with applying the simplified system of taxation (the object of taxation is income reduced by expenses) in the Russian Federation. The subject of the research is a set of economic relations, which arise because of tax-legal relations between tax authorities and taxpayers in relation to the calculation of the tax levied in connection with the application of the simplified taxation system. This study’s hypothesis is that the amount of tax revenues is influenced by factors characterizing the economic situation and development of small and medium businesses in the constituent territories of the Russian Federation. This study was conducted in 83 constituent territories of the Russian Federation in 2020–2022. The research methods are statistical analysis and econometric modeling on panel data. During this study, six econometric models were constructed. Based on the results of specification tests, the least squares dummy variables model was selected. The results of the modeling show that the tax rate, the number of taxpayers, and the real average per capita monetary income of the population have a statistically significant impact on the per capita tax revenue under the simplified tax system (the object of taxation is income reduced by the number of expenses). As a result, the focus of economic policy at both macro and meso levels should be on the support of small and medium-sized enterprises in the early stages of their life cycle, as well as on the increase of the purchasing power of the population. Based on the results obtained, it is possible to forecast the revenue side of the budgets of the constituent entities of the Russian Federation.

Purpose: is to develop the mathematical model for quantitative assessment of the tax burden by building the tax trajectory of a commercial organization as the tool for optimizing tax payments.Methods: the presented concept is developed on the basis of mathematical modeling of related economic processes concerning the formation of the tax base of the large economic entity. The model is based on a differential equation that determines the dynamics of fixed assets in relation to the selected optimal tax trajectory of the company.Results: the authors propose an approach to the calculation of tax payments based on the construction of the optimal tax trajectory of an economic entity. The analysis of the impact of building the optimal tax trajectory on the efficiency of the organization’s activity was carried out. In this context, the number of principles for the construction of the optimal tax trajectory of the company are formed, allowing to take into account the interests of the taxpayers and the state in terms of the efficiency of resource allocation and stable budget replenishment. It’s revealed that in order to replenish the revenue part of the budget it’s possible to increase the tax burden of an economic entities, which doesn’t affect their financial position.Conclusions and Relevance: the proposed approach expands the instrumental apparatus for calculating tax payments from the position of both taxpayers and fiscal authorities. The construction of the optimal tax trajectory contributes to the adoption of targeted decisions regarding the increase or decrease of the tax burden of an economic entity in mutual accounting with the factors of the macroeconomic situation. This approach allows both to manage the revenue part of the budget and subsequently redistribute it to solve social problems or overcome the decline in business economic activity. At the micro level, this contributes to the synchronization of the organization’s taxation system and the financial results of its activities. The practical significance of this approach lies in the prospect of further development and scaling of the mechanism of building an optimal tax trajectory for a wider range of companies, including through various instruments of state financial support.